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Finding the Fourth Proportional to 106,632.88, 159,971.90 and 40,073.60

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Solution

The fourth proportional to 106,632.88, 159,971.90 and 40,073.60 is: 60,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,632.88 : 159,971.90 = 40,073.60 : x
  2. Step 2: Convert to fraction form
    106,632.88/159,971.90 = 40,073.60/x
  3. Step 3: Cross multiply
    106,632.88x = 159,971.90 × 40,073.60
  4. Step 4: Simplify right side
    106,632.88x = 6,410,649,931.84
  5. Step 5: Solve for x
    x = 6,410,649,931.84/106,632.88
  6. Step 6: Final answer
    x = 60,118.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.